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1085157678231 = 321171715121589
BaseRepresentation
bin11111100101010000111…
…00000001110010010111
310211201222111121200220200
433302220130001302113
5120234400331200411
62150303051031543
7141254135034264
oct17625034016227
93751874550820
101085157678231
11389238245a70
1215638913b5b3
137b439b18c63
143a7441aa26b
151d362935e56
hexfca8701c97

1085157678231 has 48 divisors (see below), whose sum is σ = 1734351989760. Its totient is φ = 648287640000.

The previous prime is 1085157678221. The next prime is 1085157678281. The reversal of 1085157678231 is 1328767515801.

1085157678231 is a `hidden beast` number, since 10 + 8 + 51 + 576 + 7 + 8 + 2 + 3 + 1 = 666.

1085157678231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1085157678231 - 218 = 1085157416087 is a prime.

It is a super-2 number, since 2×10851576782312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085157678221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50253585 + ... + 50275173.

It is an arithmetic number, because the mean of its divisors is an integer number (36132333120).

Almost surely, 21085157678231 is an apocalyptic number.

1085157678231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1085157678231 is a deficient number, since it is larger than the sum of its proper divisors (649194311529).

1085157678231 is a wasteful number, since it uses less digits than its factorization.

1085157678231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28828 (or 28825 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 1085157678231 in words is "one trillion, eighty-five billion, one hundred fifty-seven million, six hundred seventy-eight thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 7151 21453 21589 64359 64767 78661 194301 235983 237479 507721 707949 712437 1523163 1532819 2137311 4569489 4598457 5584931 13795371 16754793 16861009 50264379 50583027 151749081 154382939 463148817 1389446451 1698212329 5094636987 10961188669 15283910961 32883566007 98650698021 120573075359 361719226077 1085157678231